Instability of Tachyon Supertube in Type IIA Godel Spacetime

Details Instability of Tachyon Supertube in Type IIA Godel Spacetime Instability of Tachyon Supertube in Type IIA Godel Spacetime

2004-12-09

arxiv.org/abs/hep-th/0412096v4

Phys.Lett. B615 (2005) 266-272

Physics

High Energy Physics

High Energy Physics - Theory

Latex 12 pages, add more discussions in last section

Scientific paper

10.1016/j.physletb.2005.04.031

We study the tachyon supertube probes in a type IIA supergravity background which is a stringy-like G\"odel spacetime and contains closed timelike curve. In the case of small value of $f$, which is a parameter of the background, we use the Minahan-Zwiebach tachyon action to obtain a single regular tube solution and argue that the tube is a BPS D2-brane. However, we find that the fluctuation around the tube configuration has a negative-energy mode. This means that the tachyon supertube, despite being a BPS configuration, develops an instability in the pathological spacetime with closed timelike curve which violates the causality.

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